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Finding the Fourth Proportional to 3,415.40, 5,122.86 and 950.24

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Solution

The fourth proportional to 3,415.40, 5,122.86 and 950.24 is: 1,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.40 : 5,122.86 = 950.24 : x
  2. Step 2: Convert to fraction form
    3,415.40/5,122.86 = 950.24/x
  3. Step 3: Cross multiply
    3,415.40x = 5,122.86 × 950.24
  4. Step 4: Simplify right side
    3,415.40x = 4,867,920.87
  5. Step 5: Solve for x
    x = 4,867,920.87/3,415.40
  6. Step 6: Final answer
    x = 1,425.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.